Multi-scale freeform surface texture filtering using a mesh relaxation scheme

Jiang, Xiangqian, Abdul-Rahman, Hussein S. and Scott, Paul J. (2013) Multi-scale freeform surface texture filtering using a mesh relaxation scheme. Measurement Science and Technology, 24 (11). ISSN 0957-0233

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Abstract

Surface filtering algorithms using Fourier, Gaussian, wavelets, etc, are well-established for simple Euclidean geometries. However, these filtration techniques cannot be applied to today's complex freeform surfaces, which have non-Euclidean geometries, without distortion of the results. This paper proposes a new multi-scale filtering algorithm for freeform surfaces that are represented by triangular meshes based on a mesh relaxation scheme. The proposed algorithm is capable of decomposing a freeform surface into different scales and separating surface roughness, waviness and form from each other, as will be demonstrated throughout the paper. Results of applying the proposed algorithm to computer-generated as well as real surfaces are represented and compared with a lifting wavelet filtering algorithm.

Item Type:	Article
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science T Technology > TJ Mechanical engineering and machinery T Technology > TK Electrical engineering. Electronics Nuclear engineering
Schools:	School of Computing and Engineering School of Computing and Engineering > Centre for Precision Technologies School of Computing and Engineering > Centre for Precision Technologies > Surface Metrology Group
Related URLs:	Author Author
Depositing User:	Hussein Abdul-Rahman
Date Deposited:	25 Sep 2013 11:34
Last Modified:	08 Dec 2016 18:14
URI:	http://eprints.hud.ac.uk/id/eprint/18562

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